Factors of 83
Every whole number that divides 83 exactly, the factor pairs, and how to find them yourself.
The answer
The factors of 83 are 1 and 83. 83 is a prime number.
Factor pairs of 83
| Pair | Makes |
|---|---|
| 1 × 83 | 83 |
Prime factors of 83
- Prime factorisation
- 83 = 83
- Is 83 prime?
- Yes. It is the 23rd prime number.
- Is 83 a square number?
- No. 9 × 9 = 81 and 10 × 10 = 100, so 83 falls between two square numbers.
How to find the factors of 83
83 is prime, so the only pair you will find is 1 × 83. Work up from 1 to 9, and write down both numbers in every pair you find.
- 83 ÷ 1 = 83, so 1 × 83 is a pair.
- 2 does not go into 83 exactly.
- 3 does not go into 83 exactly.
- 4 does not go into 83 exactly.
- 5 does not go into 83 exactly.
- 6 does not go into 83 exactly.
- 7 does not go into 83 exactly.
- 8 does not go into 83 exactly.
- 9 does not go into 83 exactly.
Stop at 10: 10 × 10 = 100, which is more than 83. The next pair you would find is 83 × 1, which is 1 × 83 turned round, so you already have every pair.
More numbers
Check whether 83 is prime.
Questions parents ask
What is the largest factor of 83, apart from 83 itself?
1. 83 is prime, so apart from 83 itself its only factor is 1.
What do the factors of 83 add up to?
84. Leaving out 83 itself, they add up to 1, which is less than 83, so 83 is called a deficient number.
Which number after 83 has the same number of factors?
89. Like 83, it has exactly 2 factors.
Number facts are the base of 11+ maths
Factors, multiples, primes and square numbers come up all over 11+ maths, from simplifying fractions to ratio. The free diagnostic checks maths, English and both kinds of reasoning, and shows what to practise next. No card is required.